Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
In the following dissertation, we explore the applicability of Yangian symmetry
to various integrable models, in particular, in relation with S-matrices.
One of the main themes in this dissertation is that, after a careful study of
the mathematics of the symmetry algebras one finds that in an integrable
model, one can directly reconstruct S-matrices just from the algebra. It has
been known for a long time that S-matrices in integrable models are fixed
by symmetry. However, Lie algebra...